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Finding the Fourth Proportional to 331,218, 457,081.20 and 180,315.36

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Solution

The fourth proportional to 331,218, 457,081.20 and 180,315.36 is: 248,835.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,218 : 457,081.20 = 180,315.36 : x
  2. Step 2: Convert to fraction form
    331,218/457,081.20 = 180,315.36/x
  3. Step 3: Cross multiply
    331,218x = 457,081.20 × 180,315.36
  4. Step 4: Simplify right side
    331,218x = 82,418,761,127.23
  5. Step 5: Solve for x
    x = 82,418,761,127.23/331,218
  6. Step 6: Final answer
    x = 248,835.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.